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MAS291 - Lý Ánh Dương

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In the 2012 presidential election, exit polls from

the critical state of Ohio provided the following results:

What is the probability a randomly selected respondent voted

for Romney?

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In its standardized form, the normal distribution
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Suppose that samples of size n = 25 are selected at

random from a normal population with mean 100 and standard

deviation 10.

What is the standard error of the sample mean?

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Which histogram is from a uniformly distributed population?

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Suppose that X has an exponential distribution

with a mean of 10.

Determine the following probability P(X < 15 | X > 10).

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How large must the sample be if you wish to be at least

95% confident that the error in estimating p is less than

0.1, regardless of the true value of p?

Let z0.025 = 1.96; z0.05 = 1.65.
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The dollar value of orders placed at a particular Website is found to be normally distributed with a standard deviation of $21.00. A sample of 32 orders averaged $78.25. What is the 90% confidence interval around this mean?

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The mean replacement time for a random sample of 12 microwave ovens is 8.6 years with a standard deviation of 2.3 years. Construct the 98% confidence interval for the population variance. Assume the data are normally distributed. Let X20.01,11 = 24.72; X20.99,11 = 3.05.
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The following sample was taken from a normally distributed population: 15, 22, 10, 15, 11, 17, and 8. Calculate the 95% confidence interval for this sample.

Given that t(0,025; 6)=2,4469

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When estimating the population mean from a normal population with unknown variance, the t distribution may be used with ______ degrees of freedom.

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